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3 years ago

Factor Completely: x^2-7x+10

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Answer:

(x-2)(x-5)

Step-by-step explanation:

Find two numbers that when they multiply, you get the third term,

which is 10 in this problem. And when they add up, you get the second term,

which is -7 in this problem.

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1. An outdoor art is a metal cube with edge length 39 feet. What is the volume of the cube in feet? In cubic yard? ( Can someone

Law Incorporation [45]

The volume of a cube is just the side length cubed...

V=s^3 in this case:

V=39^3=59319 ft^3

and in cubic yards it is:

59319 ft^3*(yd^3/27 ft^3)=2197 yd^3

5 0

3 years ago

A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70

777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture $C_m$ must be the cost of the everyday moisturizing lotion $C_e$ plus the cost of the self-tanning lotion $C_s$ , which means $C_m=C_e+C_s$ .

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

$n_m c_m=n_e c_e + n_s c_s$

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

$n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m$

We want to calculate the number of ounces of the self-tanning lotion ( $n_s$ ), so we solve for that variable:

$n_e c_e + n_s c_s=n_e c_m+n_s c_m$

$n_s c_s-n_s c_m=n_e c_m-n_e c_e$

$n_s (c_s-c_m)=n_e(c_m-c_e)$

$n_s=\frac{n_e (c_m-c_e)}{(c_s-c_m)}$

And substitute our values in this formula, to get:

$n_s=\frac{(700\ ounces) (\$1.6-\$0.7)}{(\$3-\$1.6)}=450\ ounces$

7 0

3 years ago

Just answer quickly <br> 3x - 7y + 5x -1 + 4y

Gennadij [26K]

8x + -3y -1 (simplified)

5 0

3 years ago

Read 2 more answers

Show that sinxtanx=1-cos^2x/cosx

yawa3891 [41]

LHS: = $\sin x \tan x = \frac{\sin x \sin x }{\cos x} = \frac{\sin^2 x}{\cos x}$ (using $\tan x = \frac{\sin x}{\cos x}$ )

We know $\sin^2x + \cos^2x = 1 \Rightarrow \sin^2x=1-\cos^2x$ so we can replace the sin²x in the LHS expression as follows

$\frac{\sin^2x}{\cos x} = \frac{1-\cos^2x}{\cos x}$ which is the RHS.

7 0

3 years ago

Adam is planning a party for his daughter, Rachel. The party has a beach theme. Adam plans to fill a sandbox with fresh sand so

babunello [35]

Answer:

Volume = 144 ft

Step-by-step explanation:

1. Let's write some things down, so we don't forget them!

Length = 12 ft

Height = 2 ft

Width = 6 ft

2. We can probably assume the sandbox is a rectangle. The formula for the volume of a rectangle is Length x Height x Width. So, 12 x 2 x 6 = 144, therefore that's the volume!

8 0

2 years ago